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3 years ago

Which triangles are similar?

Mathematics

1 answer:

lara31 [8.8K]3 years ago

3 0

I’m pretty sure it would be a and b

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The length of a rectangle is three times the width of the rectangle. The area of the rectangle is 48cm2. Draw the rectangle on t

Schach [20]

Answer:

The width is 4 cm

The length is 12 cm.

Step-by-step explanation:

Area of a rectangle

Given a rectangle of width W and length L, its area is calculated as follows:

$A=W\cdot L$

The area of the given rectangle is 48 cm^2, and the length is three times the width, thus:

L = 3W

Substituting into the formula of the area:

$W\cdot L=48$

$W\cdot 3W=48$

Simplifying:

$3W^2=48$

Solving:

$W^2=48/3=16$

$W=\sqrt{16}=4$

The width is 4 cm. Find the length:

L=3W=3*4= 12

The length is 12 cm.

The image attached shows the rectangle on the centimeter grid

8 0

4 years ago

You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a

svetoff [14.1K]

Answer:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

Step-by-step explanation:

We have the following info:

$ME = 50$ margin of error desired

$\sigma = 1000$ the standard deviation for this case

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=0.01$ . And for this case would be $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

5 0

3 years ago

What is 31; can vary by 7% ?

Black_prince [1.1K]

9514 1404 393

Answer:

28.83 ≤ x ≤ 33.17

Step-by-step explanation:

7% of 31 is ...

0.07 × 31 = 2.17

When we say the value can vary from 31 by 7%, we usually mean it can go that much lower or higher. For some value x, this means ...

31 -2.17 ≤ x ≤ 31 +2.17

28.83 ≤ x ≤ 33.17

5 0

3 years ago

Aiden and his sister saved 360 quarter altogether. Aiden saved twice as many quarters as his sister, If Aiden plans to put his q

IgorC [24]

Answer:

Aiden and his sister have 360 quarters together. If Aiden has twice as much as his sister, he has 180 quarters.

360/2 = 180

Aiden divides his quarters into 3 equal piles.

180/3 = 60

Aiden has 60 quarters in each of his 3 piles.

5 0

3 years ago

Given the function F(x)=3x+2 f(x)=8 find the following f(x)=8

sergiy2304 [10]

I believe the answer is 26. But I’m new to this I just learned this last week.

7 0

3 years ago